A closed plane figure with at least 3 sides The sides intersect only at their endpoints. Polygon ABCDEF
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3 A closed plane figure with at least 3 sides The sides intersect only at their endpoints B C A D F E Polygon ABCDEF
4 The diagonals of a polygon are the segments that connects one vertex of a polygon to another non adjacent vertex. B C A D F E
5 A polygon is convex if no diagonals contain points outside the polygon. A polygon is concave if a diagonal passes outside of the polygon.
6 Polygon # of Sides Polygon # of Sides n
7 Sides Triangles Degrees Sides Triangles Degrees n The sum of the measures of the interior angles of a polygon with n sides is 180(n 2).
8 Find the sum of the measures of the interior angles of each polygon. 15-gon 20-gon
9 Find x:
10 An angle drawn on the outside of a polygon that is formed by extending one side. Each exterior angle is supplementary to its adjacent interior angle.
11 The sum of the measures of the exterior angles of a polygon, one at each vertex, is 360
12 A polygon whose sides are the same length and angles are the same measure.
13 Find the measure of an interior angle and an exterior angle of a regular dodecagon.
14 A quadrilateral is a polygon with 4 sides. Depending upon its characteristics, a quadrilateral may have a special name.
15 QUADRILATERALS PARALLELOGRAM KITES TRAPEZOID A quadrilateral with two pairs of A quadrilateral with A quadrilateral adjacent with sides both congruent pairs of opposite and no exactly one pair of parallel RECTANGLE RHOMBUS opposite sides parallel sides congruent sides SQUARE ISOSCELES TRAPEZOID A A parallelogram with with four four A trapezoid congruent whose angles sides congruent sides and four nonparallel sides are congruent angles congruent
16 QUADRILATERALS
17 Determine the most precise name for quadrilateral LMNP. M L N P
18 E Find the value of the variables of the quadrilateral at the left is a kite. I 2y + 5 x + 6 K 2x + 4 T 3x - 5
19 Practice Worksheet 6-1
20
21 Opposite sides are parallel (definition) Opposites sides are congruent. Opposite angles are congruent. Consecutive angles are supplementary. The diagonals bisect each other.
22 Find the value of the missing angles
23 In parallelogram RSTV, diagonals RT and SV intersect at Q. If RQ = 5x 1 and QT = 3x + 15, find QT.
24 QUADRILATERALS
25 HAS ALL OF THE PROPERTIES OF A PARALLELOGRAM. 4 Congruent Angles (by definition) Diagonals are congruent.
26 Find the missing variable measures.
27 Determine whether each quadrilateral is a rectangle.
28 Determine whether each quadrilateral is a rectangle.
29
30 HAS ALL OF THE PROPERTIES OF A PARALLELOGRAM. Has 4 congruent sides (by definition) Each diagonal bisects two angles The diagonals are perpendicular.
31 Find each value of each missing angle.
32 ALL OF THE PROPERTIES OF A PARALLELOGRAM. ALL OF THE PROPERTIES OF A RECTANGLE. ALL OF THE PROPERTIES OF A RHOMBUS.
33 Find each value of each missing measure.
34 Classify the following quadrilateral in as many was as possible.
35 Classify the following quadrilateral in as many was as possible.
36 Practice Worksheet 6-3, 6-4, 6-5
37
38 BASE LEG BASE ANGLES LEG BASE
39 Exactly one pair of opposite sides are parallel (by definition) Exactly two pairs of consecutive angles are supplementary
40 ALL OF THE PROPERTIES OF A TRAPEZOID The legs are congruent (by definition) The base angles are congruent Diagonals are congruent
41 Determine if quadrilateral TRAP is a trapezoid. T(-1,-1), R(-5,-3), A(-4,-10), P(6,0)
42 The segment that joins the midpoints of the legs. The length of the median is ½ the sum of the bases.
43 Answer each of the following questions.
44 Two sets of adjacent sides congruent (by definition) The angles formed by the sides of differing lengths are congruent The diagonals are perpendicular The diagonal connecting the non-congruent angles bisects the other diagonal.
45 Find the measure of each missing segment, and the measure of MIA, MNA, and NMA.
46 Determine if the vertices make a kite. A(-3,1) B(-1,5) C(3,7) D(5,-2)
47 Page 325 #20-32
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